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arXiv · 2502.13684

The Light ray transform for pseudo-Euclidean metrics

Divyansh Agrawal·Plamen Stefanov
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Abstract

We study the ray transform $L$ over null (light) rays in the pseudo-Euclidean space with signature $(n',n'')$, $n'\ge2$, $n''\ge2$. We analyze the normal operator $L'L$, derive an inversion formula, and prove stability estimates. We show that the symbol $p(ξ)$ is elliptic but singular at the light cone. We analyze $L$ as an Fourier Integral Operator as well. Finally, we compare this to the Minkowski case.

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Divyansh Agrawal, Plamen Stefanov. 2025-07-05. The Light ray transform for pseudo-Euclidean metrics. https://arxiv.org/abs/2502.13684

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